505374408 has 144 divisors (see below), whose sum is σ = 1719594240. Its totient is φ = 131250240.

The previous prime is 505374391. The next prime is 505374439. The reversal of 505374408 is 804473505.

It is a super-2 number, since 2×505374408² = 510806584522700928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 56841 + ... + 65127.

Almost surely, 2^505374408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505374408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859797120).

505374408 is an abundant number, since it is smaller than the sum of its proper divisors (1214219832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

505374408 is a wasteful number, since it uses less digits than its factorization.

505374408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8328 (or 8310 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 505374408 is about 22480.5339794232. The cubic root of 505374408 is about 796.5341776102.

It can be divided in two parts, 50537 and 4408, that added together give a palindrome (54945).

The spelling of 505374408 in words is "five hundred five million, three hundred seventy-four thousand, four hundred eight".